The Triple Quad Formula in Universal Hyperbolic Geometry

The Triple Quad Formula in Universal Hyperbolic Geometry

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pg 9: @ exercises 23.3,4 ; Complimentary quadrances theorem; Equal quadrances theorem THANKS to EmptySpaceEnterprise

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9 of 9

pg 9: @ exercises 23.3,4 ; Complimentary quadrances theorem; Equal quadrances theorem THANKS to EmptySpaceEnterprise

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The Triple Quad Formula in Universal Hyperbolic Geometry

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  1. 1 CONTENT SUMMARY: pg 1: @00:11 Triple quad formula; example; suggested exercise @
  2. 2 pg 2: @07:31 Understanding the Triple quad formula; comparing the corresponding formulas in affine/projective geometry; notice the direction of the arrows @
  3. 3 pg 3: @11:39 Triple spread formula from affine RT; spread in vector notation ; spread in vector notation @
  4. 4 pg 4: @ Euclidean dot products; Relativistic dot products
  5. 5 pg 5: @19:40 Why the Triple quad formula holds; note on 4 main laws of hyperbolic trigonometry @
  6. 6 pg 6: @ Triple quad formula; proof
  7. 7 pg 7: @27:44 Triple quad formula; proof continued; a small miracle @30:40 ; remark about proof @32:25 ; encouragement to do algebra @
  8. 8 pg 8: @ The Triple spread function is defined; exercises 21.1,2
  9. 9 pg 9: @ exercises 23.3,4 ; Complimentary quadrances theorem; Equal quadrances theorem THANKS to EmptySpaceEnterprise

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